Alex gathered the following data about her classmates:
She created ordered pairs, (Height , Weight), from the data and found they defined a function.
Which of the following actions would cause Alex's set of ordered pairs to no longer define a function?
A.
Adding data from a student who is 161 cm tall and weighs 63 kg.
B.
Adding data from a student who is 154 cm tall and weighs 69 kg.
C.
Converting the measurements from metric units to inches and pounds.
D.
Plotting the ordered pairs on a coordinate grid.
A. Adding data from a student who is 161 cm tall and weighs 63 kg.
B. Adding data from a student who is 154 cm tall and weighs 69 kg.
D. Plotting the ordered pairs on a coordinate grid.
In order for a set of ordered pairs to define a function, each input (in this case, height) must have only one corresponding output (in this case, weight). If adding data from another student causes multiple outputs for the same input, then the set of ordered pairs would no longer define a function.
Thus, options A and B would cause Alex's set of ordered pairs to no longer define a function.
Option C, converting the measurements from metric units to inches and pounds, would not change the fact that each height has only one corresponding weight, so it would not affect the set of ordered pairs defining a function.
Option D, plotting the ordered pairs on a coordinate grid, is just a visual representation of the ordered pairs and does not change the fact that each height has only one corresponding weight. Therefore, it would not affect the set of ordered pairs defining a function.